We give a pedagogical introduction to the generalized hydrodynamic approach to
inhomogeneous quenches in integrable many-body quantum systems. We review recent …

We extend beyond the Euler scales the hydrodynamic theory for quantum and classical
integrable models developed in recent years, accounting for diffusive dynamics and local …

The conventional theory of hydrodynamics describes the evolution in time of chaotic many-
particle systems from local to global equilibrium. In a quantum integrable system, local …

Quantum integrable systems, such as the interacting Bose gas in one dimension and the
XXZ quantum spin chain, have an extensive number of local conserved quantities that …

Inspired by recent results on the non-equilibrium dynamics of many-body quantum systems,
we study the classical hard rod problem in one dimension with initial domain wall condition …

We derive a dynamical equation that describes the exact time evolution in generic
(inhomogeneous) noninteracting spin-chain models. Assuming quasistationarity, we …

We present a new geometric approach to Floquet many-body systems described by
inhomogeneous conformal field theory in 1+ 1 dimensions. It is based on an exact …

We consider the kinetic theory of the quantum and classical Toda lattice models. A kinetic
equation of Bethe–Boltzmann type is derived for the distribution function of conserved …

Recently, remarkably simple exact results were presented about the dynamics of heat
transport in the local Luttinger model for nonequilibrium initial states defined by position …

We study the non-equilibrium dynamics of conformal field theory (CFT) in 1+ 1 dimensions
with a smooth position-dependent velocity v (x) explicitly breaking translation invariance …